821349 has 12 divisors (see below), whose sum is σ = 1194336. Its totient is φ = 543912.

The previous prime is 821333. The next prime is 821377. The reversal of 821349 is 943128.

It is not a de Polignac number, because 821349 - 2⁴ = 821333 is a prime.

It is a super-2 number, since 2×821349² = 1349228359602, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (99528).

2⁸²¹³⁴⁹ is an apocalyptic number.

It is an amenable number.

821349 is a deficient number, since it is larger than the sum of its proper divisors (372987).

821349 is a wasteful number, since it uses less digits than its factorization.

821349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 821349 is about 906.2830683622. The cubic root of 821349 is about 93.6503153760.

It can be divided in two parts, 82 and 1349, that added together give a triangular number (1431 = T₅₃).

The spelling of 821349 in words is "eight hundred twenty-one thousand, three hundred forty-nine".